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Finding the Fourth Proportional to 119,369.85, 164,675.17 and 71,540.16

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Solution

The fourth proportional to 119,369.85, 164,675.17 and 71,540.16 is: 98,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,369.85 : 164,675.17 = 71,540.16 : x
  2. Step 2: Convert to fraction form
    119,369.85/164,675.17 = 71,540.16/x
  3. Step 3: Cross multiply
    119,369.85x = 164,675.17 × 71,540.16
  4. Step 4: Simplify right side
    119,369.85x = 11,780,888,009.83
  5. Step 5: Solve for x
    x = 11,780,888,009.83/119,369.85
  6. Step 6: Final answer
    x = 98,692.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.